${\mathcal{C}}^{\infty }$-hypoellipticity and extension of $CR$ functions

Mauro Nacinovich, Egmont Porten

Let $M$ be a $CR$ submanifold of a complex manifold $X$. The main result of this article is to show that $CR$-hypoellipticity at $p_0\in M$ is necessary and sufficient for holomor…